In this study, we will obtain the approximate solutions of the HIV infection model of CD4+ T
by develo** the Bessel collocation method. This model corresponds to a class of …

In this paper, an innovative numerical methodology is introduced for solving multiple types of
linear one-dimensional Fredholm integro-differential equations using least squares support …

In this study, a collocation method that based on Bernstein polynomials is presented for
nonlinear Fredholm–Volterra integro-differential equations (NFVIDEs). By means of the …

In this paper, a new collocation method based on the Pell–Lucas polynomials is presented
to solve the parabolic-type partial Volterra integro-differential equations. According to the …

We propose an effective method to solve high-order linear Fredholm integro-differential
equations having a weak or strong kernel. The target is to construct fast and accurate …

The paper presents a new numerical method for solving multipoint boundary value problems
for Volterra–Fredholm integro-differential equations with linear functional arguments. The …

In this paper, stochastic operational matrix of integration based on delta functions is applied
to obtain the numerical solution of linear and nonlinear stochastic quadratic integral …

In this paper, an improved Legendre collocation method is presented for a class of integro-
differential equations which involves a population model. This improvement is made by …

In this paper, we discuss the existence and uniqueness of solution of the singular quadratic
integral equation (SQIE). The Fredholm integral term is assumed in position with singular …

This paper is concerned with obtaining approximate solution and approximate derivatives
up to order k of the solution for neutral k th-order Volterra integro-differential equation with a …